WGC as a swampland program has recently been challenged by different frameworks [1]}, [2]}, [3]}, [1]}, [5]}, [6]}. More precisely, the existence of an infinite tower of exactly stable states in a fixed direction in charge space is prohibited if we encounter a UV complete model of quantum gravity. Arguments against such an infinite tower include a topic that may lead to a species problem, etc [7]}. It is generally consistent with all well-known explicit evidence of string compactifications and other conjectures of quantum gravity such as the finiteness principle and the absence of global symmetries [7]}. These equivalences can be considered to fit the conjectures, such as statements about the (in-) stability of asymptotically large extremal black holes. In quantum gravity, we expect that the initial states with super-Planckian masses will appear to distant observers as a series of black hole solutions in the framework of the low-energy effective field theory [9]}, [10]}. One of the most famous predictions of WGC is associated with a single charge while here in the Taub-NUT-AdS black holes, we face the electric and magnetic charges. Hence, we require to redefine the WGC condition as [11]}
<FIGURE>\(\frac{q_e^2+q_m^2}{M^2}>1,\) 
